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Finding the Fourth Proportional to 281,782.50, 388,859.94 and 154,458.96

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Solution

The fourth proportional to 281,782.50, 388,859.94 and 154,458.96 is: 213,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,782.50 : 388,859.94 = 154,458.96 : x
  2. Step 2: Convert to fraction form
    281,782.50/388,859.94 = 154,458.96/x
  3. Step 3: Cross multiply
    281,782.50x = 388,859.94 × 154,458.96
  4. Step 4: Simplify right side
    281,782.50x = 60,062,901,918.06
  5. Step 5: Solve for x
    x = 60,062,901,918.06/281,782.50
  6. Step 6: Final answer
    x = 213,153.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.